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Finding the Third Proportional to 16,614 and 22,545

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Solution

The third proportional to 16,614 and 22,545 is: 30,593.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,614 : 22,545 = 22,545 : x
  2. Step 2: Convert to fraction form
    16,614/22,545 = 22,545/x
  3. Step 3: Cross multiply
    16,614x = 22,545 × 22,545
  4. Step 4: Simplify right side
    16,614x = 508,277,025
  5. Step 5: Solve for x
    x = 508,277,025/16,614
  6. Step 6: Final answer
    x = 30,593.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.